27283028272000 has 512 divisors, whose sum is σ = 73923511334400. Its totient is φ = 9975028940800.

The previous prime is 27283028271979. The next prime is 27283028272009. The reversal of 27283028272000 is 27282038272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27283028272009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1331973759 + ... + 1331994241.

It is an arithmetic number, because the mean of its divisors is an integer number (144381858075).

Almost surely, 2^{27283028272000} is an apocalyptic number.

27283028272000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27283028272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36961755667200).

27283028272000 is an abundant number, since it is smaller than the sum of its proper divisors (46640483062400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27283028272000 is a wasteful number, since it uses less digits than its factorization.

27283028272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20671 (or 20649 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 27283028272000 in words is "twenty-seven trillion, two hundred eighty-three billion, twenty-eight million, two hundred seventy-two thousand".